100 POINTS IF THEY ARE CORRET ANSWER ASAP BEFORE CLASS ENDS >

100 POINTS IF THEY ARE CORRET ANSWER ASAP BEFORE CLASS ENDS >

Answers

Answer 1

Answer:

-15.11 <---> -12.48 - (2.99) -5.62

-201.65 <---> -353.92 - (-283.56) - 131.29 = -201.65

74 <--->83 1/5 - 108 2/5 - (-99 1/5)

-17 8/9 <---> -6 4/9 - 3 2/9 - 8 2/9

-19 8/9 <---> (the one that starts with 19)

Answer 2
-15.11 <--->-12.48 - (2.99) -5.62
-201.65 <--->-353.92 - (-283.56) - 131.29
=-201.65
74 <--->83 1/5 - 108 2/5 - (-99 1/5)
-17 8/9 <--->-6 4/9 - 3 219 - 8 2/9
-19 8/9 <--->

Related Questions

If my income is €15 every 2 weeks how much money will I have in 3 months

Answers

Answer

90

Step-by-step explanation:

If for 2 weeks there are 15 then there are 4 weeks in 1 month = €30 + €30 + €30 = €90

First multiply 4 by 3 as there are 4 weeks in every month (4 x 3 = 12).

Then divide that amount of weeks (12) by 2 as you are only getting paid every two weeks (12 / 2 = 6).

Then multiply your income by the amount of weeks you’re paid (6 x €15 = €90)

Answer = €90

Rational Numbers -- Operations
Remember -- When performing operations with rational numbers, they should both be in the same form -- fractions or decimals -- and then operations should be performed accordingly

9/10 - .15
2.5 + 1/3
1.75 x 7/8
4 1/4 - 3.6
8.4 / (1/3)
12.6 - 1 1/2
3 2/3 x .12
1.8 / (3/4)
45 1/3 x .08
72.65 - 12 2/5
Ronda ate 2/5 of the pie. Connor ate .375 of the pie. How much did they eat combined? (Express your answer either as a fraction or decimal)

Miles is painting pumpkins for halloween. He has 3/4 of a gallon of paint. Each pumpkin needs .03 gallons to cover the pumpkin. How many pumpkins can he paint?

Answers

Answer:

Stop cheating on that assignment

explanation:

Learn something .

Answer: 2/5 of the pie is .4 added to .375 equals .775 they ate all together.

3/4 is .75 gallon. To find how many pumpkins he can paint, divide .75÷ .03 = 25 pumpkins.

Step-by-step explanation:

To convert fractions to decimals, divide the numerator by the denominator. 7/8 = .875

To convert a decimal to a fraction, use the digits as the numerator and make the denominator a power of 10 with one place more than the numerator. Then reduce or simply. Examples:

.5 = 5/10 = 1/2

.75 = 75/100 = 3/4

.125 = 125/1000 = 1/8

I hope this helps you!

Your sister’s soccer team drinks 15 liters of water during their tournament. Water coolers are sold in gallon sizes. What is the smallest gallon water cooler they will need to buy? (1 gallon 3.8 liters)

Answers

Answer: 4 gallons

Step-by-step explanation:

I am pretty sure it is 4 gallons because if you multiply 3.8(2)=7.6 and then 3.8(3)=11.4 and finally 3.8(4)=15.2

So that is why I think that the smallest gallon water cooler they will need too by is a 4-gallon cooler.

lawd lawd lawd lawd lawd lawd lawd lawd let me think.

NEED HELP ASAP WILL GIVE BRAINLIEST
Which of the following sentences correctly uses parallel structure? In the scientific method, you propose a hypothesis, conduct an experiment, analyze the data, and you end with a reporting of your findings. The scientific method consists of proposing your hypothesis, conducting your experiment, analyzing your data, and reporting your findings. The scientific method begins with a hypothesis, continues with an experiment, then analyzing data, and reporting findings. To correctly follow the scientific method, you must hypothesize, experiment, analyze, and reporting your findings.

Answers

Answer & Step-by-step explanation:

The following sentence correctly uses parallel structure: "The scientific method consists of proposing your hypothesis, conducting your experiment, analyzing your data, and reporting your findings." In this sentence, all of the phrases are in the same form and describe actions that are part of the scientific method. Each phrase begins with a verb (proposing, conducting, analyzing, and reporting) and is followed by a noun that describes the action (hypothesis, experiment, data, and findings). This structure is parallel because each phrase has the same grammatical structure and describes a similar action.

The other sentences do not use parallel structure because they do not have the same grammatical structure or they do not describe similar actions. For example, in the first sentence, the phrases "propose a hypothesis" and "end with a reporting" are not parallel because they do not have the same grammatical structure. In the second sentence, the phrases "proposing your hypothesis" and "reporting your findings" are not parallel because they do not describe the same type of action (proposing is a mental process, while reporting is a physical action). In the third sentence, the phrases "begins with a hypothesis" and "reporting findings" are not parallel because they do not have the same grammatical structure (one begins with a verb and the other ends with a verb). Finally, in the fourth sentence, the phrases "hypothesize" and "reporting" are not parallel because they do not have the same grammatical structure (one is a verb and the other is a gerund).

Answer:

The scientific method begins with a hypothesis, continues with an experiment, then analyzing data, and reporting findings

Find the slope of the graphed line please.

Find the slope of the graphed line please.

Answers

Answer: -1/2

Step-by-step explanation:    Rise over run.

.
The graph below shows data that was collected from a person's commute to work over the course of one month. The equation of the trend line is y=-6/5x + 86

Part A: What is the y-intercept of the trend line below?
Part B: What does it represent?
Part C: Does the meaning of the y-intercept make sense in real life? Explain.

. The graph below shows data that was collected from a person's commute to work over the course of one

Answers

Y- intercept is 86
It represents where the line hits the Y-Axis
No, if you are going 0 mph, you will not be going anywhere, therefore the time to get to a destination would be infinite

The required,
(A) y-intercept = 86
(B) The y-intercept represents the predicted value of y when x is equal to zero.

(C) No

What is the intercept in the equation?

In the equation intercept is the value of the linear function where either of the variables is zero.

Here,
Part A: The y-intercept of the trend line is 86.

Part B: The y-intercept represents the predicted value of y when x is equal to zero. In this case, it represents the predicted number of minutes that the person's commute would take if they started at home (i.e., x = 0) and encountered no delays or traffic.

Part C: The meaning of the y-intercept may or may not make sense in real life, depending on the context of the data. If the data represents the person's actual commute times, then the y-intercept would not make sense in real life, since it is unlikely that the person's commute would take zero minutes with no delays or traffic.

Thus, the required solution has been shown above.

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Find the surface area of the rectangular prism
3 cm
5 cm
10 cm

Answers

Answer:

Step-by-step explanation:

Can you label like which one is which please.

At the store you want to buy a bunch of 3d printed Christmas gifts for your family. Each large tree costs $4.50 , and each small tree costs $2.25, If you buy 4 large trees, and can spend a total of $50. Write and solve an inequality for number of small trees (s) you can buy

Answers

We know that each large tree costs $4.50, and each small tree costs $2.25. If you buy 4 large trees, that means you will spend 4 * $4.50 = $<<4*4.5=18>>18 on large trees.

If you can spend a total of $50, then you have $50 - $18 = $<<50-18=32>>32 to spend on small trees.

The total cost of the small trees will be s * $2.25, where s is the number of small trees you buy.

To find the maximum number of small trees you can buy, we can set this expression equal to $32 and solve for s:

s * $2.25 = $32

s = $32 / $2.25

s = 14.22

Since you can't buy a fraction of a tree, the maximum number of small trees you can buy is 14.

Answer:

If each large tree costs 4.50 and you need to buy 4, then 4 x 4.50 = $18.00 leaving you with $32.00. With these 32 dollars left, you can now buy 14 small trees, still being left with a remainder of 0.50$.

Step-by-step explanation:

which one is correct 0.061 > 0.510 0.501 < 0.510 0.510 > 0.510 0.500 > 0.510

Answers

Answer: 0.501 < 0.510

Step-by-step explanation:

0.510 is larger than 0.501

Answer= 0.501< 0.510

Please help me with number 9

Please help me with number 9

Answers

well, it was truly 12.5 mL, however she said 13 mL, well, she was off by 13 - 12.5 = 0.5 mL.

Now, if we take 12.5(origin amount) to be the 100%, what is 0.5 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 12.5 & 100\\ 0.5& x \end{array} \implies \cfrac{12.5}{0.5}~~=~~\cfrac{100}{x} \implies 12.5x=50 \\\\\\ x=\cfrac{50}{12.5}\implies x=\stackrel{\%}{4}\)

I’m happy to help!
For this problem, it is asking for a percentage error, which is basically how far off the student was from the true value. (But in percentages)
First, we need to find how far off the student was in millimeters, which is calculated by finding the difference between the guess and the true value:
13-12.5=0.5
So the student was 0.5 millimeters off of the total, from here, we can use this number to find our answer.
Percentages also have regular number counterparts. For example, 1 is 100%, because you have one whole thing. 0.5 is 50% because 0.5 is half of a whole number. .33 is 33% etc.
To calculate how far the guess was from the actual amount, we divide the difference (0.5) by the true value (12.5)
0.5/12.5=0.04
0.04 converted to a percentage is 4%. (You move the decimal two places to the left, or multiply by 100)
This works because you can calculate how much a value takes up of the total by dividing. For example, to find out how much 1 takes up of 4, you would calculate 1/4, which equals .25, or 25%, and we know this is true.
I hope this helps!

i fell so dumnm for asking all these questions.
Which function has a y-value of 12, if the x-value is 3?

y = 4 x
y = x - 6
y = x + 8
y = 3 x

Answers

Replace x with 3 and solve for y to equal 12:


y = 4(3) = 12


the answer is y = 4x

Answer:4x

Step-by-step explanation:

Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.

Simplify the given polynomials. Then, classify each polynomial by its degree and number of terms.

Drag each label to the correct location on the table. Each label can be used more than once, but not

Answers

Have attached the picture which has the answers plus explains the solution...

Hope that helps

Drag each label to the correct location on the table. Each label can be used more than once, but not

The simplification, its degree and number of terms of the given polynomials is given below.

What is polynomial?

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer

Given:

1. (x-1/2)(6x+2)

Simplified form: 6x²-x-1

Name by degree : Quadratic

Number of terms: Polynomial.

2. (7x²+3x)-1/3(21x²-12)

   Simplified form: 3x+4

Name by degree : Linear

Number of terms: Binomial.

3. 4(5x²-9x+7)+2(-10x²-18x-13)

  Simplified form: 2

Name by degree : constant

Number of terms: monomial.

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Estimate the total surface area of the Triangular prism represented by the net below

Estimate the total surface area of the Triangular prism represented by the net below

Answers

Answer:

Step-by-step explanation:

it would be c. 116

This is because each rectangle has an area of  36 and there are 3 which equals 108

Also each triangle has an area of 3.9  and there are two so it is 7.8 for both of the triangles

108+15.6 is 115.8

That is approximately 116

That is why its 116

A clock that loses 5 seconds each hour has not been reset for 48 hours. What time does the clock show if the correct time is 8:49?
Pls solve asap! Brainliest!

Answers

Answer:

it’s actually gonna be 12:49. the clock is losing seconds meaning that it’s behind the actual time.

Step-by-step explanation:

48x5 = 240 seconds

240/60 = 4 hours

8:49 + 4 hours = 12:49

The time on clock is 8:53

What is time dilation?

Time dilation is the difference in the elapsed time as measured by two clocks. It is either due to a relative velocity between them or to a difference in gravitational potential between their locations.

Given,

Clock loses 5 seconds each hour

Seconds it will loose in 48 hours = 5×48 = 240 seconds

1 second = 1/60 minute

240 seconds = 240/60 = 4 minutes

If the correct time is 8:49

The time in clock is 8:53.

Hence, 8:53 is the time, the clock shows.

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pleasse no wrong answers

pleasse no wrong answers

Answers

Large Polygon 14 x21= 294

Little Polygon 2x(2x2) =8

294-8=286

help me solve the problems, please! I will give the brainiest!

help me solve the problems, please! I will give the brainiest!
help me solve the problems, please! I will give the brainiest!

Answers

Answer:

1/5

1/3

Step-by-step explanation:

For the first problem:

5/7 of ... is 1/7

so

5/7 of x is equal to 1/7

so

(5/7)x = (1/7)

so

x = (1/7)/(5/7)

so

x = 1/5

For the second problem:

5/7 of ... is 5/21

so

5/7 of x is equal to 5/21

so

(5/7)x = (5/21)

so

x = (5/21)/(5/7)

so

x = 1/3

There now u can mark them brainiest lol x=1/3

Evaluate.

(−13+0.3(−13) +1) ^2

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Answers

Answer: 289/900

Explanation: I did this before

ANSWER
25281
100
1 Calculate: (-13 + 0.3 x (-13) + 1)2
252.81
2 Convert to fraction: 252.81
25281
100
Show
Evaluate.(13+0.3(13) +1) ^2What is the value of the expression?Enter your answer as a simplified fraction

An architect plans to build an extension to​ Meiling's rectangular deck. Let x represent the​ increase, in​ meters, of her​ deck's length. The expression 2(x + 7) represents the area of the​ deck, where 2 is the​ width, in​ meters, and (x + 7) represents the extended​ length, in meters. Use the Distributive Property to write an expression that represents the total area of​ Meiling's new deck.

Answers

The expression should be 2x + 14

Calculation:

Since 2 is the width, in meters, and (x+7) represents the extended length, in meters.

So, area is:

\(A = 2(x+7)\)

And,

\(A=(2\times x) + (2 \times 7)\)

\(A = 2x + 14\)

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Two integers, n and p, have a product of -10. What is the smallest possible sum of n and p? Explain your strategy.

Answers

Answer: -5 x 2

Step-by-step explanation:

Multiply −5 and 2 to get −10.

To end up with a negative make sure to put a negative number inside the problem with a positive number.

-5X2 because multiplies to -10

List all the numbers you can for (?) in the fraction ?/10. Each choice must be less then ten, and the fraction formed must be in simplest form [For the ones who can't read what it says.]

List all the numbers you can for (?) in the fraction ?/10. Each choice must be less then ten, and the

Answers

Answer:

1, 2, 3, 4, 5, 6, 7, 8, and 9.

Step-by-step explanation:

1, 3, 4, 7, 9 are all the possible answers

what does x= gyygybbyyyyygygy

Answers

Answer:

?

Step-by-step explanation:

Kevin's weekly salary is 865. He receives a 25% raise. How can Kevin find his new weekly salary? Select all that apply.

a. divide 865 by 0.25
b. divide 865 by 1.25
c. multiply 865 by 0.25
d. multiply 865 by 1.25
e. add 865 and 1/4 of 865
f. add 865 and 1 1/4 of 865

Answers

d and e. A 25% raise means that Kevin’s weekly salary is 1.25 times more than 865. 865 x 1.25 = 1081.25. That is what answer d states. 25% is also knows as 1/4 of the total, which is 865 in this case.

Answer:

Option d. (also option e depending on which way you want to calculate it)

Step-by-step explanation:

First, I should point out that percentage basically means 'out of one hundred' so 25% means '25 out of one hundred.' The value of the percentage increase = 25% × 865. The new value = 865 + The value of the percentage increase.

______________________________________

More Simple Explanation:

Alright, so this might not be a super 'mathematical' trick or related to this question but it still works. Basically we just have to convert 25% into a decimal which I do by moving the decimal point 2 numbers to the left. (Since we cannot see the decimal point in the percentage we automatically know that it stays at the end of 25 a.k.a 25.0) So now our number becomes 0.25 (we got rid of the percentage symbol). Now we just multiply 865 by 0.25 to get our answer!

______________________________________

More Mathematical Process *Basically the value and random useless stuff to know lol because my math teacher showed me this and I thought I needed to add this*:

1) Calculate the new value of the number increased by percentage of its initial value

The new value =

865 + The value of the percentage increase =

865 + (25% × 865) =

865 + 25% × 865 =

(1 + 25%) × 865 =

(100% + 25%) × 865 =

125% × 865 =

125 ÷ 100 × 865 =

125 × 865 ÷ 100 =

108,125 ÷ 100 =

1,081.25

2) Calculate the actual change (the difference) between the new value and the initial one

The actual change =

The new value - 865 =

1,081.25 - 865 =

216.25

(For positive numbers, the actual change = The value of the percentage increase)

And give a reason why?

And give a reason why?

Answers

Answer:

Step-by-step explanation: \(2x + 8 \geq 12\\2x + 8 -8 \geq 12 -8\\2x/2 \geq \fra 4/2\\x \geq 2\)

   I don't know if it's correct

i really need help with this if anyone can help

i really need help with this if anyone can help

Answers

Answer:

6) no, because a tree that is 2 units east and 8 units north would only be one yard away from a pre-existing tree

7) tree A is the closest to the house

8) tree F is the furthest from the house

9) tree D is further east

10) if you were to go 2 yards east and 10 yards north, you would reach tree F

Step-by-step explanation:

hope this helped!

6.no
7.tree A is closest to the house
8.tree F is the furthest
9.tree d is further East
10.if you were to go 2yards east and 10 yards north,you would reach tree F

Lisa is on a road trip. She has already driven
30 miles of her journey and is traveling 130 miles every 2
hours. Which equation represents this situation? Let D
represent total distance traveled and h represent the
number of hours spent driving
A D= 30 + 65h
B D= 30 + 130h
C D= 65+ 30h
D D= 130 + 30h

Answers

Answer:

D= 65h +30

Step-by-step explanation:

Lisa has already traveled 30 miles so you do the +30 to represent the 30 miles. Then you add this to 65miles per hour since 130 is per 2 hours. 130/2 = 65

Answer: B


Step by step explanation:
Lisa already traveled 30 miles to you add that and Lisa is traveling 130 miles every 2 hours so you multiply them together

There are currently 6,210 fish in a lake. If the number of fish in the lake increased by 15 percent during the last year and 20 percent during the year before that, how many more fish are in the lake currently than in the last two years ago?

Answers

I’m pretty sure the answer should be 1,710 if not i’m sorry

Answer:

1710 fish

Step-by-step explanation:

Let the number of fish in the lake last year be 'x'

The equation becomes-
x + 15x/100=6210     (This is because 15% of x is added in x to become    
6210... hope you understand)

x + 15x/100 = 6210
115x/100 = 6210
23x/20 = 6210
x = 6210 * 20/23
x = 270 * 20
x = 5400

Therefore- The number of fish last year = 5400


Now, let the number of fish in the lake 2 years ago be 'y'

The equation becomes-
y + 20y/100 = 5400     (Same logic as last time)

y + 20y/100 = 5400
120y/100 = 5400
24y/20 = 5400
6y/5 = 5400
y = 5400 * 5/6
y = 900 * 5
y = 4500

Therefore- Fish in the lake two years ago = 4500 fish

Difference between current and two years ago = 6210-4500
                                                                               = 1710 fish

Hope you understood the answer and I hope it helps you :)


Giving BRAINLIEST :D
20 Points

Given this equation;

5p + 3 = 15

Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.

Answers

Answer:

P = 2.4!!

Step-by-step explanation:

Situation: Lets say you have 5 cookies in a cookie tin. Your little sister/brother/pet takes 3 cookies and starts eating them. You take the left over cookies (2.4) and put them back in the tin. You are angry, and ask your sibling to replace your cookies, so they give you 2 and a few crumbs from their own cookie tin. Then your grandma comes over and hears about the "cookie stealing". she then gives you 3 cookies.

p=2.4 because 15-3=12 what else equals 12 5x2.4

Directions: Use the clues below to solve the logic problems.
John, Alyssa, Christopher, and Madison have one of the following job types: programmer, writer, banker, and chemist. Their salaries are $42,200, $44,700, $53,600 and $48,100. Figure out the job position and salary for each person.

1) Madison is not a chemist or a writer.

2) The programmer earns $44,700.

3) The banker earns more than the chemist.

4) Alyssa is not a banker or a chemist.

5) The banker earns $53,600.

6) The chemist earns $42,200.

7) The banker earns more than the writer.

8) The programmer earns more than the chemist.

9) The writer does not earn $53,600.

10) Christopher is not a writer or a banker.

11). John is not a banker or a programmer.

12) The writer earns more than the programmer.

13) John is not a chemist or a banker.

THANK YOU!!

Directions: Use the clues below to solve the logic problems. John, Alyssa, Christopher, and Madison have

Answers

Answer & Step-by-step explanation:

Using the clues given in the image, we can solve the logic problems as follows:

1. From clue 1, we know that Madison is either a programmer, a banker or a chemist.

2. From clue 2, we know that the programmer earns $44,700. Therefore, Alyssa and John cannot be the programmer.

3. From clue 3, we know that the banker earns more than the chemist. Therefore, Madison cannot be the chemist.

4. From clue 4, we know that Alyssa is either a programmer or a writer.

5. From clue 5, we know that the banker earns $53,600. Therefore, Madison is the banker.

6. From clue 6, we know that the chemist earns $42,200. Therefore, Christopher is the chemist.

7. From clue 7, we know that Madison earns more than the writer. Therefore, John cannot be the banker or the chemist.

8. From clue 8, we know that the programmer earns more than the chemist. Therefore, John is not the programmer.

9. From clue 9, we know that the writer does not earn $53,600. Therefore, Alyssa is the programmer and John is the writer.

10. From clue 10, we know that Christopher is either a programmer or a writer. However, we already know that Alyssa is the programmer, so Christopher must be the writer.

11. From clue 11, we know that John is not a banker or a programmer. Therefore, John is the writer.

12. From clue 12, we know that the writer earns more than the programmer. Therefore, John earns $48,100 and Alyssa earns $44,700.

Therefore:

- Madison is the banker and earns $53,600.

- Alyssa is the programmer and earns $44,700.

- Christopher is the writer and earns $53,600.

- John is the chemist and earns $48,100.

Answer:

The correct options are 3, 4, 5, 7, 9, 12, 13.

Step-by-step explanation:

3) The banker earns more than the chemist.

4) Alyssa is not a banker or a chemist.

5) The banker earns $53,600.

7) The banker earns more than the writer.

9) The writer does not earn $53,600.

12) The writer earns more than the programmer.

13) John is not a chemist or banker.

I NEED CORRECT AND DETAILED STEP BY STEP ANSWERS!!
PLEASE DONT COMMENT RANDOM THINGS OR IRRELEVANT THINGS
!!!!

PERSON WHO ANSWERS CORRECTLY WILL RECIEVE 10 POINTS !! AND BRAINLIEST!! AND A THANKS!!

I NEED CORRECT AND DETAILED STEP BY STEP ANSWERS!!PLEASE DONT COMMENT RANDOM THINGS OR IRRELEVANT THINGS!!!!PERSON

Answers

Answer:

Step-by-step explanation:

Let's start by finding the sum of the list of nine numbers, which we can then use to find the value of the remaining two numbers in the list:

Sum of the nine numbers = mean * number of numbers = 17 * 9 = 153

Let the three modes be a, b, and c. Since they are modes, each of them must appear at least twice in the list.

Let's assume that the numbers in the list are arranged in non-decreasing order. Then we have:

a ≤ b ≤ c

Since a, b, and c are modes, each of them must appear at least twice in the list. We have three cases to consider:

Case 1: Each of a, b, and c appears exactly twice in the list.

In this case, the remaining three numbers in the list are:

x1 = a + 4

x2 = b + 1

x3 = c - 8

We know that x1, x2, and x3 are distinct and not modes of the list. Therefore, they must be among the six numbers in the list that are not equal to a, b, or c. Let's call these numbers d, e, and f, where:

d ≤ e ≤ f

Then we have:

a + b + c + x1 + x2 + x3 + d + e + f = 153

3(a + b + c) + 3(d + e + f) = 153 + x1 + x2 + x3

Since x1, x2, and x3 are distinct and not modes of the list, we have:

x1 > c

x2 > b

x3 < c

Therefore, we can write:

x1 = c + k1

x2 = b + k2

x3 = a + k3

where k1, k2, and k3 are positive integers.

Substituting these expressions into the equation above, we get:

3(a + b + c) + 3(d + e + f) = 153 + a + b + c + k1 + k2 + k3

Simplifying, we get:

2(a + b + c) + 3(d + e + f) = 153 + k1 + k2 + k3

Since k1, k2, and k3 are positive integers, the right-hand side of this equation is at least 3. Therefore, we have:

2(a + b + c) + 3(d + e + f) ≥ 156

We want to find the value of 3(a + b + c), so let's isolate this term:

3(a + b + c) = 2(a + b + c) + (a + b + c)

Since the left-hand side is three times the sum of a, b, and c, and the right-hand side involves the sum of a, b, c, d, e, and f, we need to express d, e, and f in terms of a, b, and c.

From the inequality a ≤ b ≤ c, we have:

a + k3 ≤ b + k2 ≤ c + k1

Adding 4 to the first inequality, we get:

a + k3 + 4 ≤ b + k2 + 4 ≤ c + k1 + 4

Adding -8 to the second inequality, we get:

a + k3 + 4 ≤ c + k1 - 4 ≤ b + k2

Therefore, we can choose d = a + k3 + 4, e = c + k1 - 4, and f = b + k2. Then

What is the greatest number less than 400 such that 4 is the greatest common divisor of the number and 24?

Answers

Answer:

its simple greatest number less that 400 is 399

Answer:

388

Step-by-step explanation:

Definition from Wikipedia

In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted as gcd(x,y) . For example, the GCD of 8 and 12 is 4, that is, gcd(8,4)=4  (https://en.wikipedia.org/wiki/Greatest_common_divisor)

Methodology to find greatest common denominator(factor) for 2 numbers

Write down the divisors of both numbersCollect the common divisors of both termsChoose the largest divisor from the above termsThe divisors of 24 are 1, 2, 3, 4, 6, 8, 12, 24Since the number is less than 400, it must be 4 x D where D < 100Let's try 4 x 99 = 396. Divisors are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396. gcd(24, 396) = 12.Try D = 98 ==> 4 x 98 = 392 with divisors 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. gcd(24, 392) = 8Try D = 97 ==> 4 x 97 = 388. Divisors of 388 are 1, 2, 4, 97, 194, 388 gcd(4, 388) = 4

Note that even though I have listed all divisors of the higher number, you don't have to compute all divisors. You can stop figuring out the divisors once the larger number is divisible by the number that is higher than 4 but slosest to i. For example, in the case of 396, I would stop computing as soon as I found it is divisible by 6

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